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55376420 = 22511376803
BaseRepresentation
bin1101001100111…
…1101000100100
310212012102011112
43103033220210
5103134021140
65254524152
71241456201
oct323175044
9125172145
1055376420
1129293140
1216666658
13b61b618
1474d6ca8
154cdcc65
hex34cfa24

55376420 has 48 divisors (see below), whose sum is σ = 130310208. Its totient is φ = 19589760.

The previous prime is 55376417. The next prime is 55376437. The reversal of 55376420 is 2467355.

55376420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×553764203 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4739 + ... + 11541.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 255376420 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 55376420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65155104).

55376420 is an abundant number, since it is smaller than the sum of its proper divisors (74933788).

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

55376420 is a wasteful number, since it uses less digits than its factorization.

55376420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 55376420 is about 7441.5334441229. The cubic root of 55376420 is about 381.1608545492.

The spelling of 55376420 in words is "fifty-five million, three hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 6803 8140 13606 27212 34015 68030 74833 136060 149666 251711 299332 374165 503422 748330 1006844 1258555 1496660 2517110 2768821 5034220 5537642 11075284 13844105 27688210 55376420