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55100928 = 293291237
BaseRepresentation
bin1101001000110…
…0011000000000
310211200102021010
43102030120000
5103101212203
65245000520
71236231051
oct322143000
9124612233
1055100928
1129115163
1216553140
13b5530cc
147464728
154c86303
hex348c600

55100928 has 80 divisors (see below), whose sum is σ = 151976880. Its totient is φ = 17719296.

The previous prime is 55100923. The next prime is 55100933. The reversal of 55100928 is 82900155.

It is a Cunningham number, because it is equal to 74232-1.

It is an interprime number because it is at equal distance from previous prime (55100923) and next prime (55100933).

It is a super-2 number, since 2×551009282 = 6072224532922368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55100895 and 55100904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55100923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43926 + ... + 45162.

It is an arithmetic number, because the mean of its divisors is an integer number (1899711).

Almost surely, 255100928 is an apocalyptic number.

55100928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75988440).

55100928 is an abundant number, since it is smaller than the sum of its proper divisors (96875952).

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

55100928 is a wasteful number, since it uses less digits than its factorization.

55100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 55100928 is about 7422.9999326418. Note that the first 4 decimals coincide. The cubic root of 55100928 is about 380.5277247704.

The spelling of 55100928 in words is "fifty-five million, one hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1237 1392 1536 1856 2474 2784 3711 3712 4948 5568 7422 7424 9896 11136 14844 14848 19792 22272 29688 35873 39584 44544 59376 71746 79168 107619 118752 143492 158336 215238 237504 286984 316672 430476 475008 573968 633344 860952 950016 1147936 1721904 1900032 2295872 3443808 4591744 6887616 9183488 13775232 18366976 27550464 55100928