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150424896 = 26331127199
BaseRepresentation
bin10001111011101…
…00110101000000
3101111001101011110
420331310311000
5302002044041
622532043320
73504406356
oct1075646500
9344041143
10150424896
1177a024a6
1242463540
132521a41b
1415d997d6
15d315516
hex8f74d40

150424896 has 112 divisors (see below), whose sum is σ = 416153600. Its totient is φ = 47900160.

The previous prime is 150424889. The next prime is 150424913. The reversal of 150424896 is 698424051.

It is a super-2 number, since 2×1504248962 = 45255298673221632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755805 + ... + 756003.

Almost surely, 2150424896 is an apocalyptic number.

150424896 is a gapful number since it is divisible by the number (16) 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 150424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208076800).

150424896 is an abundant number, since it is smaller than the sum of its proper divisors (265728704).

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

150424896 is a wasteful number, since it uses less digits than its factorization.

150424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 150424896 is about 12264.7827538852. The cubic root of 150424896 is about 531.8304998296.

The spelling of 150424896 in words is "one hundred fifty million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 186 192 199 248 254 372 381 398 496 508 597 744 762 796 992 1016 1194 1488 1524 1592 1984 2032 2388 2976 3048 3184 3937 4064 4776 5952 6096 6169 6368 7874 8128 9552 11811 12192 12338 12736 15748 18507 19104 23622 24384 24676 25273 31496 37014 38208 47244 49352 50546 62992 74028 75819 94488 98704 101092 125984 148056 151638 188976 197408 202184 251968 296112 303276 377952 394816 404368 592224 606552 755904 783463 808736 1184448 1213104 1566926 1617472 2350389 2426208 3133852 4700778 4852416 6267704 9401556 12535408 18803112 25070816 37606224 50141632 75212448 150424896