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48619656 = 23333153137
BaseRepresentation
bin1011100101111…
…0000010001000
310101111010122000
42321132002020
544421312111
64454031000
71130155161
oct271360210
9111433560
1048619656
1125498738
1214348460
13a0c4037
146658768
154405c56
hex2e5e088

48619656 has 128 divisors (see below), whose sum is σ = 143078400. Its totient is φ = 15275520.

The previous prime is 48619633. The next prime is 48619661. The reversal of 48619656 is 65691684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354820 + ... + 354956.

It is an arithmetic number, because the mean of its divisors is an integer number (1117800).

Almost surely, 248619656 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 48619656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71539200).

48619656 is an abundant number, since it is smaller than the sum of its proper divisors (94458744).

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

48619656 is a wasteful number, since it uses less digits than its factorization.

48619656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 48619656 is about 6972.7796465972. The cubic root of 48619656 is about 364.9813113594.

The spelling of 48619656 in words is "forty-eight million, six hundred nineteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 53 54 62 72 93 106 108 124 137 159 186 212 216 248 274 279 318 372 411 424 477 548 558 636 744 822 837 954 1096 1116 1233 1272 1431 1643 1644 1674 1908 2232 2466 2862 3286 3288 3348 3699 3816 4247 4929 4932 5724 6572 6696 7261 7398 8494 9858 9864 11448 12741 13144 14522 14787 14796 16988 19716 21783 25482 29044 29574 29592 33976 38223 39432 43566 44361 50964 58088 59148 65349 76446 87132 88722 101928 114669 118296 130698 152892 174264 177444 196047 225091 229338 261396 305784 354888 392094 450182 458676 522792 675273 784188 900364 917352 1350546 1568376 1800728 2025819 2701092 4051638 5402184 6077457 8103276 12154914 16206552 24309828 48619656