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150973472 = 25132331509
BaseRepresentation
bin10001111111110…
…10110000100000
3101112002020200002
420333322300200
5302122122342
622551515132
73512152616
oct1077726040
9345066602
10150973472
1178247671
1242688aa8
1325380020
141609d6b6
15d3c2d32
hex8ffac20

150973472 has 96 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 64373760.

The previous prime is 150973457. The next prime is 150973483. The reversal of 150973472 is 274379051.

150973472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 296354 + ... + 296862.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2150973472 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 150973472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

150973472 is an abundant number, since it is smaller than the sum of its proper divisors (194488288).

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

150973472 is a wasteful number, since it uses less digits than its factorization.

150973472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 150973472 is about 12287.1262710204. The cubic root of 150973472 is about 532.4762163255.

The spelling of 150973472 in words is "one hundred fifty million, nine hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 31 32 46 52 62 92 104 124 184 208 248 299 368 403 416 496 509 598 713 736 806 992 1018 1196 1426 1612 2036 2392 2852 3224 4072 4784 5704 6448 6617 8144 9269 9568 11408 11707 12896 13234 15779 16288 18538 22816 23414 26468 31558 37076 46828 52936 63116 74152 93656 105872 126232 148304 152191 187312 205127 211744 252464 296608 304382 362917 374624 410254 504928 608764 725834 820508 1217528 1451668 1641016 2435056 2903336 3282032 4717921 4870112 5806672 6564064 9435842 11613344 18871684 37743368 75486736 150973472