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55458240 = 2635411409
BaseRepresentation
bin1101001110001…
…1100111000000
310212100120101220
43103203213000
5103144130430
65300355040
71242246555
oct323434700
9125316356
1055458240
1129339662
12166a5a80
13b649936
147518a2c
154d07110
hex34e39c0

55458240 has 112 divisors (see below), whose sum is σ = 180502560. Its totient is φ = 14417920.

The previous prime is 55458239. The next prime is 55458241. The reversal of 55458240 is 4285455.

It is an interprime number because it is at equal distance from previous prime (55458239) and next prime (55458241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55458241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38656 + ... + 40064.

It is an arithmetic number, because the mean of its divisors is an integer number (1611630).

Almost surely, 255458240 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 55458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90251280).

55458240 is an abundant number, since it is smaller than the sum of its proper divisors (125044320).

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

55458240 is a wasteful number, since it uses less digits than its factorization.

55458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 55458240 is about 7447.0289377711. The cubic root of 55458240 is about 381.3484869631.

The spelling of 55458240 in words is "fifty-five million, four hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1409 1640 1968 2460 2624 2818 3280 3936 4227 4920 5636 6560 7045 7872 8454 9840 11272 13120 14090 16908 19680 21135 22544 28180 33816 39360 42270 45088 56360 57769 67632 84540 90176 112720 115538 135264 169080 173307 225440 231076 270528 288845 338160 346614 450880 462152 577690 676320 693228 866535 924304 1155380 1352640 1386456 1733070 1848608 2310760 2772912 3466140 3697216 4621520 5545824 6932280 9243040 11091648 13864560 18486080 27729120 55458240