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49426038 = 23417131137
BaseRepresentation
bin1011110010001…
…0111001110110
310110000002210000
42330202321312
5100123113123
64523212130
71140054144
oct274427166
9113002700
1049426038
1125999572
1214677046
13a31709c
1467c8594
154514b43
hex2f22e76

49426038 has 80 divisors (see below), whose sum is σ = 119023344. Its totient is φ = 15275520.

The previous prime is 49426007. The next prime is 49426073. The reversal of 49426038 is 83062494.

It is a happy number.

49426038 is a `hidden beast` number, since 4 + 9 + 42 + 603 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49425993 and 49426011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360706 + ... + 360842.

Almost surely, 249426038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49426038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59511672).

49426038 is an abundant number, since it is smaller than the sum of its proper divisors (69597306).

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

49426038 is a wasteful number, since it uses less digits than its factorization.

49426038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 49426038 is about 7030.3654243574. The cubic root of 49426038 is about 366.9880585225.

The spelling of 49426038 in words is "forty-nine million, four hundred twenty-six thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 131 137 153 162 262 274 306 393 411 459 786 822 918 1179 1233 1377 2227 2329 2358 2466 2754 3537 3699 4454 4658 6681 6987 7074 7398 10611 11097 13362 13974 17947 20043 20961 21222 22194 35894 40086 41922 53841 60129 62883 107682 120258 125766 161523 180387 188649 305099 323046 360774 377298 484569 610198 915297 969138 1453707 1830594 2745891 2907414 5491782 8237673 16475346 24713019 49426038