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381508152 = 233176115329
BaseRepresentation
bin10110101111010…
…101101000111000
3222120212121210120
4112233111220320
51240131230102
6101505013240
712311523444
oct2657255070
9876777716
10381508152
111863957a3
12a7924220
136106878c
143894d824
152375e6bc
hex16bd5a38

381508152 has 64 divisors (see below), whose sum is σ = 1026496800. Its totient is φ = 117719040.

The previous prime is 381508139. The next prime is 381508159. The reversal of 381508152 is 251805183.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381508159) 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, 17224 + ... + 32552.

Almost surely, 2381508152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381508152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513248400).

381508152 is an abundant number, since it is smaller than the sum of its proper divisors (644988648).

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

381508152 is a wasteful number, since it uses less digits than its factorization.

381508152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15416 (or 15412 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 381508152 is about 19532.2336664294. The cubic root of 381508152 is about 725.2726058482.

The spelling of 381508152 in words is "three hundred eighty-one million, five hundred eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 1037 1464 2074 3111 4148 6222 8296 12444 15329 24888 30658 45987 61316 91974 122632 183948 260593 367896 521186 781779 935069 1042372 1563558 1870138 2084744 2805207 3127116 3740276 5610414 6254232 7480552 11220828 15896173 22441656 31792346 47688519 63584692 95377038 127169384 190754076 381508152