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55732820 = 225111321499
BaseRepresentation
bin1101010010011…
…0101001010100
310212212112001112
43110212221110
5103231422240
65310314152
71244502233
oct324465124
9125775045
1055732820
1129506990
12167b8958
13b714900
14758ab1a
154d5d665
hex3526a54

55732820 has 72 divisors (see below), whose sum is σ = 138348000. Its totient is φ = 18695040.

The previous prime is 55732801. The next prime is 55732837. The reversal of 55732820 is 2823755.

It is a super-2 number, since 2×557328202 = 6212294450304800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36431 + ... + 37929.

It is an arithmetic number, because the mean of its divisors is an integer number (1921500).

Almost surely, 255732820 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 55732820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69174000).

55732820 is an abundant number, since it is smaller than the sum of its proper divisors (82615180).

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

55732820 is a wasteful number, since it uses less digits than its factorization.

55732820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 55732820 is about 7465.4417149958. The cubic root of 55732820 is about 381.9768175766.

The spelling of 55732820 in words is "fifty-five million, seven hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 676 715 845 1430 1499 1690 1859 2860 2998 3380 3718 5996 7436 7495 9295 14990 16489 18590 19487 29980 32978 37180 38974 65956 77948 82445 97435 164890 194870 214357 253331 329780 389740 428714 506662 857428 1013324 1071785 1266655 2143570 2533310 2786641 4287140 5066620 5573282 11146564 13933205 27866410 55732820