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55420416 = 293319211
BaseRepresentation
bin1101001101101…
…0011000000000
310212021122112000
43103122120000
5103141423131
65255504000
71242031362
oct323323000
9125248460
1055420416
11293131a7
1216688000
13b63565c
147508d32
154ceace6
hex34da600

55420416 has 160 divisors (see below), whose sum is σ = 173500800. Its totient is φ = 17418240.

The previous prime is 55420381. The next prime is 55420427. The reversal of 55420416 is 61402455.

It is a super-2 number, since 2×554204162 = 6142845019226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 55420416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262551 + ... + 262761.

It is an arithmetic number, because the mean of its divisors is an integer number (1084380).

Almost surely, 255420416 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 55420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86750400).

55420416 is an abundant number, since it is smaller than the sum of its proper divisors (118080384).

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

55420416 is a wasteful number, since it uses less digits than its factorization.

55420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55420416 is about 7444.4889683577. The cubic root of 55420416 is about 381.2617706301.

The spelling of 55420416 in words is "fifty-five million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 211 216 228 256 288 304 342 384 422 432 456 512 513 576 608 633 684 768 844 864 912 1026 1152 1216 1266 1368 1536 1688 1728 1824 1899 2052 2304 2432 2532 2736 3376 3456 3648 3798 4009 4104 4608 4864 5064 5472 5697 6752 6912 7296 7596 8018 8208 9728 10128 10944 11394 12027 13504 13824 14592 15192 16036 16416 20256 21888 22788 24054 27008 29184 30384 32072 32832 36081 40512 43776 45576 48108 54016 60768 64144 65664 72162 81024 87552 91152 96216 108032 108243 121536 128288 131328 144324 162048 182304 192432 216486 243072 256576 262656 288648 324096 364608 384864 432972 486144 513152 577296 729216 769728 865944 972288 1026304 1154592 1458432 1539456 1731888 2052608 2309184 2916864 3078912 3463776 4618368 6157824 6927552 9236736 13855104 18473472 27710208 55420416