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383525472 = 253112137241
BaseRepresentation
bin10110110111000…
…010001001100000
3222201200010001010
4112313002021200
51241140303342
6102020140520
712334625031
oct2667021140
9881603033
10383525472
11187543400
12a8537740
13615c3a65
1438d16a88
1523a0c29c
hex16dc2260

383525472 has 144 divisors (see below), whose sum is σ = 1119300336. Its totient is φ = 114892800.

The previous prime is 383525449. The next prime is 383525477. The reversal of 383525472 is 274525383.

It is a self number, because there is not a number n which added to its sum of digits gives 383525472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383525477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591272 + ... + 1591512.

It is an arithmetic number, because the mean of its divisors is an integer number (7772919).

Almost surely, 2383525472 is an apocalyptic number.

383525472 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 383525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559650168).

383525472 is an abundant number, since it is smaller than the sum of its proper divisors (735774864).

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

383525472 is a wasteful number, since it uses less digits than its factorization.

383525472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 383525472 is about 19583.8063715918. The cubic root of 383525472 is about 726.5487128169.

The spelling of 383525472 in words is "three hundred eighty-three million, five hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 137 176 241 242 264 274 352 363 411 482 484 528 548 723 726 822 964 968 1056 1096 1446 1452 1507 1644 1928 1936 2192 2651 2892 2904 3014 3288 3856 3872 4384 4521 5302 5784 5808 6028 6576 7712 7953 9042 10604 11568 11616 12056 13152 15906 16577 18084 21208 23136 24112 29161 31812 33017 33154 36168 42416 48224 49731 58322 63624 66034 66308 72336 84832 87483 99051 99462 116644 127248 132068 132616 144672 174966 198102 198924 233288 254496 264136 265232 349932 363187 396204 397848 466576 528272 530464 699864 726374 792408 795696 933152 1056544 1089561 1399728 1452748 1584816 1591392 2179122 2799456 2905496 3169632 3995057 4358244 5810992 7990114 8716488 11621984 11985171 15980228 17432976 23970342 31960456 34865952 47940684 63920912 95881368 127841824 191762736 383525472