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396731552 = 2571931297
BaseRepresentation
bin10111101001011…
…010010010100000
31000122112001101012
4113221122102200
51303030402202
6103211200052
712555106520
oct2751322240
91018461335
10396731552
11193a43318
12b0a46028
13642689c9
143a993680
1524c6a152
hex17a5a4a0

396731552 has 144 divisors (see below), whose sum is σ = 980925120. Its totient is φ = 154275840.

The previous prime is 396731527. The next prime is 396731557. The reversal of 396731552 is 255137693.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (396731557) 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 23 ways as a sum of consecutive naturals, for example, 4089968 + ... + 4090064.

It is an arithmetic number, because the mean of its divisors is an integer number (6811980).

Almost surely, 2396731552 is an apocalyptic number.

396731552 is a gapful number since it is divisible by the number (32) 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 396731552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490462560).

396731552 is an abundant number, since it is smaller than the sum of its proper divisors (584193568).

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

396731552 is a wasteful number, since it uses less digits than its factorization.

396731552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its digits is 170100, while the sum is 41.

The square root of 396731552 is about 19918.1211965386. The cubic root of 396731552 is about 734.7939644933.

The spelling of 396731552 in words is "three hundred ninety-six million, seven hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 97 112 124 133 152 194 217 224 248 266 304 388 434 496 532 589 608 679 776 868 961 992 1064 1178 1358 1552 1736 1843 1922 2128 2356 2716 3007 3104 3472 3686 3844 4123 4256 4712 5432 6014 6727 6944 7372 7688 8246 9424 10864 12028 12901 13454 14744 15376 16492 18259 18848 21049 21728 24056 25802 26908 29488 30752 32984 36518 42098 48112 51604 53816 57133 58976 65968 73036 84196 93217 96224 103208 107632 114266 127813 131936 146072 168392 186434 206416 215264 228532 255626 292144 336784 372868 399931 412832 457064 511252 584288 652519 673568 745736 799862 914128 1022504 1305038 1491472 1599724 1771123 1828256 2045008 2610076 2982944 3199448 3542246 4090016 5220152 6398896 7084492 10440304 12397861 12797792 14168984 20880608 24795722 28337968 49591444 56675936 99182888 198365776 396731552