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70528752 = 2433783281
BaseRepresentation
bin1000011010000…
…10111011110000
311220201020021000
410031002323300
5121023410002
610555402000
71514325120
oct415027360
9156636230
1070528752
11368a2328
121b753300
13117c53b8
14951cc80
1562d261c
hex4342ef0

70528752 has 160 divisors (see below), whose sum is σ = 234984960. Its totient is φ = 19837440.

The previous prime is 70528747. The next prime is 70528753. The reversal of 70528752 is 25782507.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70528753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250852 + ... + 251132.

It is an arithmetic number, because the mean of its divisors is an integer number (1468656).

Almost surely, 270528752 is an apocalyptic number.

70528752 is a gapful number since it is divisible by the number (72) 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 70528752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117492480).

70528752 is an abundant number, since it is smaller than the sum of its proper divisors (164456208).

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

70528752 is a wasteful number, since it uses less digits than its factorization.

70528752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 70528752 is about 8398.1397940258. The cubic root of 70528752 is about 413.1636128265.

The spelling of 70528752 in words is "seventy million, five hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 281 332 336 378 432 498 504 562 581 664 747 756 843 996 1008 1124 1162 1328 1494 1512 1686 1743 1967 1992 2241 2248 2324 2529 2988 3024 3372 3486 3934 3984 4482 4496 4648 5058 5229 5901 5976 6744 6972 7587 7868 8964 9296 10116 10458 11802 11952 13488 13944 15174 15687 15736 17703 17928 20232 20916 23323 23604 27888 30348 31374 31472 35406 35856 40464 41832 46646 47208 53109 60696 62748 69969 70812 83664 93292 94416 106218 121392 125496 139938 141624 163261 186584 209907 212436 250992 279876 283248 326522 373168 419814 424872 489783 559752 629721 653044 839628 849744 979566 1119504 1259442 1306088 1469349 1679256 1959132 2518884 2612176 2938698 3358512 3918264 4408047 5037768 5877396 7836528 8816094 10075536 11754792 17632188 23509584 35264376 70528752