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51249440 = 2551137787
BaseRepresentation
bin1100001110000…
…0000100100000
310120102202000102
43003200010200
5101104440230
65030241532
71161420164
oct303400440
9116382012
1051249440
1126a24510
12151b62a8
13a805018
146b40ca4
154775045
hex30e0120

51249440 has 96 divisors (see below), whose sum is σ = 135825984. Its totient is φ = 18109440.

The previous prime is 51249391. The next prime is 51249503. The reversal of 51249440 is 4494215.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64727 + ... + 65513.

It is an arithmetic number, because the mean of its divisors is an integer number (1414854).

Almost surely, 251249440 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 51249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67912992).

51249440 is an abundant number, since it is smaller than the sum of its proper divisors (84576544).

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

51249440 is a wasteful number, since it uses less digits than its factorization.

51249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 51249440 is about 7158.8714194348. The cubic root of 51249440 is about 371.4465891513.

The spelling of 51249440 in words is "fifty-one million, two hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 787 814 880 1184 1480 1574 1628 1760 2035 2960 3148 3256 3935 4070 5920 6296 6512 7870 8140 8657 12592 13024 15740 16280 17314 25184 29119 31480 32560 34628 43285 58238 62960 65120 69256 86570 116476 125920 138512 145595 173140 232952 277024 291190 320309 346280 465904 582380 640618 692560 931808 1164760 1281236 1385120 1601545 2329520 2562472 3203090 4659040 5124944 6406180 10249888 12812360 25624720 51249440