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55207464 = 233131967139
BaseRepresentation
bin1101001010011…
…0011000101000
310211212211101220
43102212120220
5103113114324
65251142040
71240153464
oct322463050
9124784356
1055207464
1129188204
12165a4920
13b58c750
1474914a4
154ca7b79
hex34a6628

55207464 has 128 divisors (see below), whose sum is σ = 159936000. Its totient is φ = 15738624.

The previous prime is 55207463. The next prime is 55207489. The reversal of 55207464 is 46470255.

It is a super-2 number, since 2×552074642 = 6095728162622592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55207463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397107 + ... + 397245.

It is an arithmetic number, because the mean of its divisors is an integer number (1249500).

Almost surely, 255207464 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 55207464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79968000).

55207464 is an abundant number, since it is smaller than the sum of its proper divisors (104728536).

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

55207464 is a wasteful number, since it uses less digits than its factorization.

55207464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 55207464 is about 7430.1725417382. The cubic root of 55207464 is about 380.7728132146.

The spelling of 55207464 in words is "fifty-five million, two hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 67 76 78 104 114 134 139 152 156 201 228 247 268 278 312 402 417 456 494 536 556 741 804 834 871 988 1112 1273 1482 1608 1668 1742 1807 1976 2546 2613 2641 2964 3336 3484 3614 3819 5092 5226 5282 5421 5928 6968 7228 7638 7923 9313 10184 10452 10564 10842 14456 15276 15846 16549 18626 20904 21128 21684 27939 30552 31692 33098 34333 37252 43368 49647 55878 63384 66196 68666 74504 99294 102999 111756 121069 132392 137332 176947 198588 205998 223512 242138 274664 353894 363207 397176 411996 484276 530841 707788 726414 823992 968552 1061682 1415576 1452828 2123364 2300311 2905656 4246728 4600622 6900933 9201244 13801866 18402488 27603732 55207464