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49970016 = 25322931193
BaseRepresentation
bin1011111010011…
…1101101100000
310111000201222100
42332213231200
5100243020031
64543010400
71144511115
oct276475540
9114021870
1049970016
1126230238
1214899a00
13a477875
1468ca90c
1545c0de6
hex2fa7b60

49970016 has 144 divisors (see below), whose sum is σ = 152530560. Its totient is φ = 15482880.

The previous prime is 49970009. The next prime is 49970027. The reversal of 49970016 is 61007994.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258816 + ... + 259008.

It is an arithmetic number, because the mean of its divisors is an integer number (1059240).

Almost surely, 249970016 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 49970016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76265280).

49970016 is an abundant number, since it is smaller than the sum of its proper divisors (102560544).

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

49970016 is a wasteful number, since it uses less digits than its factorization.

49970016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 49970016 is about 7068.9473049387. The cubic root of 49970016 is about 368.3294938051.

The spelling of 49970016 in words is "forty-nine million, nine hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 32 36 48 58 62 72 87 93 96 116 124 144 174 186 193 232 248 261 279 288 348 372 386 464 496 522 558 579 696 744 772 899 928 992 1044 1116 1158 1392 1488 1544 1737 1798 2088 2232 2316 2697 2784 2976 3088 3474 3596 4176 4464 4632 5394 5597 5983 6176 6948 7192 8091 8352 8928 9264 10788 11194 11966 13896 14384 16182 16791 17949 18528 21576 22388 23932 27792 28768 32364 33582 35898 43152 44776 47864 50373 53847 55584 64728 67164 71796 86304 89552 95728 100746 107694 129456 134328 143592 173507 179104 191456 201492 215388 258912 268656 287184 347014 402984 430776 520521 537312 574368 694028 805968 861552 1041042 1388056 1561563 1611936 1723104 2082084 2776112 3123126 4164168 5552224 6246252 8328336 12492504 16656672 24985008 49970016