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55534640 = 2457231457
BaseRepresentation
bin1101001111011…
…0010000110000
310212111110012112
43103312100300
5103204102030
65302144452
71243015400
oct323662060
9125443175
1055534640
1129390aa7
1216722128
13b675645
147538800
154d1ea95
hex34f6430

55534640 has 120 divisors (see below), whose sum is σ = 155382912. Its totient is φ = 18385920.

The previous prime is 55534621. The next prime is 55534643. The reversal of 55534640 is 4643555.

It is a junction number, because it is equal to n+sod(n) for n = 55534597 and 55534606.

It is not an unprimeable number, because it can be changed into a prime (55534643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121292 + ... + 121748.

Almost surely, 255534640 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 55534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77691456).

55534640 is an abundant number, since it is smaller than the sum of its proper divisors (99848272).

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

55534640 is a wasteful number, since it uses less digits than its factorization.

55534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 55534640 is about 7452.1567347983. The cubic root of 55534640 is about 381.5235235053.

The spelling of 55534640 in words is "fifty-five million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 457 490 496 560 620 784 868 914 980 1085 1240 1519 1736 1828 1960 2170 2285 2480 3038 3199 3472 3656 3920 4340 4570 6076 6398 7312 7595 8680 9140 12152 12796 14167 15190 15995 17360 18280 22393 24304 25592 28334 30380 31990 36560 44786 51184 56668 60760 63980 70835 89572 99169 111965 113336 121520 127960 141670 179144 198338 223930 226672 255920 283340 358288 396676 447860 495845 566680 694183 793352 895720 991690 1133360 1388366 1586704 1791440 1983380 2776732 3470915 3966760 5553464 6941830 7933520 11106928 13883660 27767320 55534640