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55388040 = 233517191429
BaseRepresentation
bin1101001101001…
…0011110001000
310212020000002220
43103102132020
5103134404130
65255054040
71241535111
oct323223610
9125200086
1055388040
11292a0944
1216671320
13b6239b6
1474db208
154ce1410
hex34d2788

55388040 has 128 divisors (see below), whose sum is σ = 185328000. Its totient is φ = 13160448.

The previous prime is 55388027. The next prime is 55388077. The reversal of 55388040 is 4088355.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 55387992 and 55388010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38046 + ... + 39474.

It is an arithmetic number, because the mean of its divisors is an integer number (1447875).

Almost surely, 255388040 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 55388040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92664000).

55388040 is an abundant number, since it is smaller than the sum of its proper divisors (129939960).

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

55388040 is a wasteful number, since it uses less digits than its factorization.

55388040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 55388040 is about 7442.3141562286. The cubic root of 55388040 is about 381.1875131846.

The spelling of 55388040 in words is "fifty-five million, three hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1020 1140 1292 1429 1615 1938 2040 2280 2584 2858 3230 3876 4287 4845 5716 6460 7145 7752 8574 9690 11432 12920 14290 17148 19380 21435 24293 27151 28580 34296 38760 42870 48586 54302 57160 72879 81453 85740 97172 108604 121465 135755 145758 162906 171480 194344 217208 242930 271510 291516 325812 364395 407265 461567 485860 543020 583032 651624 728790 814530 923134 971720 1086040 1384701 1457580 1629060 1846268 2307835 2769402 2915160 3258120 3692536 4615670 5538804 6923505 9231340 11077608 13847010 18462680 27694020 55388040