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151005552 = 24329831307
BaseRepresentation
bin10010000000000…
…10100101110000
3101112010212200020
421000002211300
5302124134202
622552323440
73512345265
oct1100024560
9345125606
10151005552
1178269785
12426a3580
13253917c9
14160ab26c
15d3cc5bc
hex9002970

151005552 has 80 divisors (see below), whose sum is σ = 408723840. Its totient is φ = 47977216.

The previous prime is 151005529. The next prime is 151005553. The reversal of 151005552 is 255500151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151005553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114883 + ... + 116189.

It is an arithmetic number, because the mean of its divisors is an integer number (5109048).

Almost surely, 2151005552 is an apocalyptic number.

151005552 is a gapful number since it is divisible by the number (12) 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 151005552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204361920).

151005552 is an abundant number, since it is smaller than the sum of its proper divisors (257718288).

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

151005552 is a wasteful number, since it uses less digits than its factorization.

151005552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

The square root of 151005552 is about 12288.4316330441. The cubic root of 151005552 is about 532.5139285298.

The spelling of 151005552 in words is "one hundred fifty-one million, five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 83 87 116 166 174 232 249 332 348 464 498 664 696 996 1307 1328 1392 1992 2407 2614 3921 3984 4814 5228 7221 7842 9628 10456 14442 15684 19256 20912 28884 31368 37903 38512 57768 62736 75806 108481 113709 115536 151612 216962 227418 303224 325443 433924 454836 606448 650886 867848 909672 1301772 1735696 1819344 2603544 3145949 5207088 6291898 9437847 12583796 18875694 25167592 37751388 50335184 75502776 151005552