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55597640 = 23572941167
BaseRepresentation
bin1101010000010…
…1101001001000
310212121122121212
43110011221020
5103213111030
65303352252
71243400150
oct324055110
9125548555
1055597640
112942436a
1216752688
13b698217
147553760
154d33595
hex3505a48

55597640 has 128 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 17848320.

The previous prime is 55597639. The next prime is 55597651. The reversal of 55597640 is 4679555.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332837 + ... + 333003.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 255597640 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 55597640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

55597640 is an abundant number, since it is smaller than the sum of its proper divisors (96811960).

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

55597640 is a wasteful number, since it uses less digits than its factorization.

55597640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The square root of 55597640 is about 7456.3825009183. The cubic root of 55597640 is about 381.6677391917.

The spelling of 55597640 in words is "fifty-five million, five hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 41 56 58 70 82 116 140 145 164 167 203 205 232 280 287 290 328 334 406 410 574 580 668 812 820 835 1015 1148 1160 1169 1189 1336 1435 1624 1640 1670 2030 2296 2338 2378 2870 3340 4060 4676 4756 4843 5740 5845 5945 6680 6847 8120 8323 9352 9512 9686 11480 11690 11890 13694 16646 19372 23380 23780 24215 27388 33292 33901 34235 38744 41615 46760 47560 47929 48430 54776 66584 67802 68470 83230 95858 96860 135604 136940 166460 169505 191716 193720 198563 239645 271208 273880 332920 339010 383432 397126 479290 678020 794252 958580 992815 1356040 1389941 1588504 1917160 1985630 2779882 3971260 5559764 6949705 7942520 11119528 13899410 27798820 55597640