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49231392 = 2537611201
BaseRepresentation
bin1011101111001…
…1011000100000
310102122012202220
42323303120200
5100100401032
64515111040
71135313520
oct273633040
9112565686
1049231392
1125876301
12145a2480
13a279602
146777680
1544c712c
hex2ef3620

49231392 has 96 divisors (see below), whose sum is σ = 150240384. Its totient is φ = 13824000.

The previous prime is 49231387. The next prime is 49231397. The reversal of 49231392 is 29313294.

49231392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49231387) and next prime (49231397).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (49231397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40392 + ... + 41592.

It is an arithmetic number, because the mean of its divisors is an integer number (1565004).

Almost surely, 249231392 is an apocalyptic number.

49231392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49231392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75120192).

49231392 is an abundant number, since it is smaller than the sum of its proper divisors (101008992).

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

49231392 is a wasteful number, since it uses less digits than its factorization.

49231392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1274 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 49231392 is about 7016.5085334517. The cubic root of 49231392 is about 366.5056762489.

The spelling of 49231392 in words is "forty-nine million, two hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1201 1281 1464 1708 1952 2402 2562 2928 3416 3603 4804 5124 5856 6832 7206 8407 9608 10248 13664 14412 16814 19216 20496 25221 28824 33628 38432 40992 50442 57648 67256 73261 100884 115296 134512 146522 201768 219783 269024 293044 403536 439566 512827 586088 807072 879132 1025654 1172176 1538481 1758264 2051308 2344352 3076962 3516528 4102616 6153924 7033056 8205232 12307848 16410464 24615696 49231392