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3838478272 = 26374573547
BaseRepresentation
bin1110010011001010…
…1000011111000000
3100220111202220021221
43210302220133000
530330122301042
61432515524424
7164056345516
oct34462503700
910814686257
103838478272
11169a7a25a2
128b15b9714
1349231a425
14285b0a4b6
15176ebbd67
hexe4ca87c0

3838478272 has 56 divisors (see below), whose sum is σ = 7842172784. Its totient is φ = 1862756352.

The previous prime is 3838478239. The next prime is 3838478299. The reversal of 3838478272 is 2728748383.

It is a super-2 number, since 2×38384782722 = 29467830889232211968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080403 + ... + 1083949.

Almost surely, 23838478272 is an apocalyptic number.

3838478272 is a gapful number since it is divisible by the number (32) 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 3838478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921086392).

3838478272 is an abundant number, since it is smaller than the sum of its proper divisors (4003694512).

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

3838478272 is a wasteful number, since it uses less digits than its factorization.

3838478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4043 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 52.

The square root of 3838478272 is about 61955.4539326442. The cubic root of 3838478272 is about 1565.7401762310.

The spelling of 3838478272 in words is "three billion, eight hundred thirty-eight million, four hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 457 592 914 1184 1828 2368 3547 3656 7094 7312 14188 14624 16909 28376 29248 33818 56752 67636 113504 131239 135272 227008 262478 270544 524956 541088 1049912 1082176 1620979 2099824 3241958 4199648 6483916 8399296 12967832 25935664 51871328 59976223 103742656 119952446 239904892 479809784 959619568 1919239136 3838478272