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152238744 = 23337107941
BaseRepresentation
bin10010001001011…
…11101010011000
3101121110112022000
421010233222120
5302433114434
623035001000
73526002510
oct1104575230
9347415260
10152238744
1178a31249
1242b99160
1325703bc8
141630c840
15d572b99
hex912fa98

152238744 has 128 divisors (see below), whose sum is σ = 488332800. Its totient is φ = 43044480.

The previous prime is 152238743. The next prime is 152238761. The reversal of 152238744 is 447832251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152238699 and 152238708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152238743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 161314 + ... + 162254.

It is an arithmetic number, because the mean of its divisors is an integer number (3815100).

Almost surely, 2152238744 is an apocalyptic number.

152238744 is a gapful number since it is divisible by the number (14) 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 152238744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244166400).

152238744 is an abundant number, since it is smaller than the sum of its proper divisors (336094056).

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

152238744 is a wasteful number, since it uses less digits than its factorization.

152238744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1060 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 152238744 is about 12338.5065546848. The cubic root of 152238744 is about 533.9595980038.

The spelling of 152238744 in words is "one hundred fifty-two million, two hundred thirty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 107 108 126 168 189 214 216 252 321 378 428 504 642 749 756 856 941 963 1284 1498 1512 1882 1926 2247 2568 2823 2889 2996 3764 3852 4494 5646 5778 5992 6587 6741 7528 7704 8469 8988 11292 11556 13174 13482 16938 17976 19761 20223 22584 23112 25407 26348 26964 33876 39522 40446 50814 52696 53928 59283 67752 79044 80892 100687 101628 118566 158088 161784 177849 201374 203256 237132 302061 355698 402748 474264 604122 704809 711396 805496 906183 1208244 1409618 1422792 1812366 2114427 2416488 2718549 2819236 3624732 4228854 5437098 5638472 6343281 7249464 8457708 10874196 12686562 16915416 19029843 21748392 25373124 38059686 50746248 76119372 152238744