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56962240 = 2651737283
BaseRepresentation
bin1101100101001…
…0110011000000
310222011222111121
43121102303000
5104040242430
65352522024
71261112446
oct331226300
9128158447
1056962240
112a176635
12170b0314
13ba5538a
1477cab96
155002a7a
hex3652cc0

56962240 has 112 divisors (see below), whose sum is σ = 148023072. Its totient is φ = 20791296.

The previous prime is 56962231. The next prime is 56962249. The reversal of 56962240 is 4226965.

It is an interprime number because it is at equal distance from previous prime (56962231) and next prime (56962249).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 56962196 and 56962205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56962249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201139 + ... + 201421.

Almost surely, 256962240 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 56962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74011536).

56962240 is an abundant number, since it is smaller than the sum of its proper divisors (91060832).

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

56962240 is a wasteful number, since it uses less digits than its factorization.

56962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 56962240 is about 7547.3333038895. Note that the first 4 decimals coincide. The cubic root of 56962240 is about 384.7651122483.

The spelling of 56962240 in words is "fifty-six million, nine hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 64 68 74 80 85 136 148 160 170 185 272 283 296 320 340 370 544 566 592 629 680 740 1088 1132 1184 1258 1360 1415 1480 2264 2368 2516 2720 2830 2960 3145 4528 4811 5032 5440 5660 5920 6290 9056 9622 10064 10471 11320 11840 12580 18112 19244 20128 20942 22640 24055 25160 38488 40256 41884 45280 48110 50320 52355 76976 83768 90560 96220 100640 104710 153952 167536 178007 192440 201280 209420 307904 335072 356014 384880 418840 670144 712028 769760 837680 890035 1424056 1539520 1675360 1780070 2848112 3350720 3560140 5696224 7120280 11392448 14240560 28481120 56962240