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55597440 = 2735231259
BaseRepresentation
bin1101010000010…
…1100110000000
310212121122100110
43110011212000
5103213104230
65303351320
71243366443
oct324054600
9125548313
1055597440
11294241a8
1216752540
13b6980c2
14755365a
154d334b0
hex3505980

55597440 has 128 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 14170112.

The previous prime is 55597427. The next prime is 55597453. The reversal of 55597440 is 4479555.

It is an interprime number because it is at equal distance from previous prime (55597427) and next prime (55597453).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43531 + ... + 44789.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 255597440 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 55597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

55597440 is an abundant number, since it is smaller than the sum of its proper divisors (129471360).

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

55597440 is a wasteful number, since it uses less digits than its factorization.

55597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 55597440 is about 7456.3690895770. The cubic root of 55597440 is about 381.6672815366.

The spelling of 55597440 in words is "fifty-five million, five hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1259 1380 1472 1840 1920 2208 2518 2760 2944 3680 3777 4416 5036 5520 6295 7360 7554 8832 10072 11040 12590 14720 15108 18885 20144 22080 25180 28957 30216 37770 40288 44160 50360 57914 60432 75540 80576 86871 100720 115828 120864 144785 151080 161152 173742 201440 231656 241728 289570 302160 347484 402880 434355 463312 483456 579140 604320 694968 805760 868710 926624 1158280 1208640 1389936 1737420 1853248 2316560 2417280 2779872 3474840 3706496 4633120 5559744 6949680 9266240 11119488 13899360 18532480 27798720 55597440