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55293952 = 211721929
BaseRepresentation
bin1101001011101…
…1100000000000
310212001020001011
43102323200000
5103123401302
65253050304
71240663600
oct322734000
9125036034
1055293952
112923718a
1216626994
13b5bcc1c
1474b4c00
154cc35d7
hex34bb800

55293952 has 144 divisors (see below), whose sum is σ = 140049000. Its totient is φ = 21676032.

The previous prime is 55293943. The next prime is 55293967. The reversal of 55293952 is 25939255.

It is a super-2 number, since 2×552939522 = 6114842255556608, 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 11 ways as a sum of consecutive naturals, for example, 1906674 + ... + 1906702.

Almost surely, 255293952 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 55293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70024500).

55293952 is an abundant number, since it is smaller than the sum of its proper divisors (84755048).

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

55293952 is a wasteful number, since it uses less digits than its factorization.

55293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its digits is 121500, while the sum is 40.

The square root of 55293952 is about 7435.9903173686. The cubic root of 55293952 is about 380.9715490038.

The spelling of 55293952 in words is "fifty-five million, two hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 49 56 58 64 76 98 112 116 128 133 152 196 203 224 232 256 266 304 392 406 448 464 512 532 551 608 784 812 896 928 931 1024 1064 1102 1216 1421 1568 1624 1792 1856 1862 2048 2128 2204 2432 2842 3136 3248 3584 3712 3724 3857 4256 4408 4864 5684 6272 6496 7168 7424 7448 7714 8512 8816 9728 11368 12544 12992 14336 14848 14896 15428 17024 17632 19456 22736 25088 25984 26999 29696 29792 30856 34048 35264 38912 45472 50176 51968 53998 59392 59584 61712 68096 70528 90944 100352 103936 107996 119168 123424 136192 141056 181888 207872 215992 238336 246848 272384 282112 363776 415744 431984 476672 493696 564224 727552 863968 953344 987392 1128448 1455104 1727936 1906688 1974784 2910208 3455872 3949568 6911744 7899136 13823488 27646976 55293952