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3139624448 = 29192931359
BaseRepresentation
bin1011101100100010…
…1101111000000000
322002210202110001222
42323020231320000
522412220440243
61235313014212
7140542240022
oct27310557000
98083673058
103139624448
111371266354
12737554368
133b05bc95c
1421ad90012
15135974168
hexbb22de00

3139624448 has 160 divisors (see below), whose sum is σ = 7070976000. Its totient is φ = 1385717760.

The previous prime is 3139624373. The next prime is 3139624451. The reversal of 3139624448 is 8444269313.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3139624399 and 3139624408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8745293 + ... + 8745651.

It is an arithmetic number, because the mean of its divisors is an integer number (44193600).

Almost surely, 23139624448 is an apocalyptic number.

3139624448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3139624448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488000).

3139624448 is an abundant number, since it is smaller than the sum of its proper divisors (3931351552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3139624448 is a wasteful number, since it uses less digits than its factorization.

3139624448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The square root of 3139624448 is about 56032.3517978676. The cubic root of 3139624448 is about 1464.2859684038.

The spelling of 3139624448 in words is "three billion, one hundred thirty-nine million, six hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 29 31 32 38 58 62 64 76 116 124 128 152 232 248 256 304 359 464 496 512 551 589 608 718 899 928 992 1102 1178 1216 1436 1798 1856 1984 2204 2356 2432 2872 3596 3712 3968 4408 4712 4864 5744 6821 7192 7424 7936 8816 9424 9728 10411 11129 11488 13642 14384 14848 15872 17081 17632 18848 20822 22258 22976 27284 28768 34162 35264 37696 41644 44516 45952 54568 57536 68324 70528 75392 83288 89032 91904 109136 115072 136648 141056 150784 166576 178064 183808 197809 211451 218272 230144 273296 282112 301568 322741 333152 356128 395618 422902 436544 460288 546592 645482 666304 712256 791236 845804 873088 1093184 1290964 1332608 1424512 1582472 1691608 1746176 2186368 2581928 2665216 2849024 3164944 3383216 3492352 4372736 5163856 5330432 5698048 6132079 6329888 6766432 8745472 10327712 12264158 12659776 13532864 20655424 24528316 25319552 27065728 41310848 49056632 50639104 54131456 82621696 98113264 101278208 108262912 165243392 196226528 392453056 784906112 1569812224 3139624448