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50753952 = 253561107
BaseRepresentation
bin1100000110011…
…1000110100000
310112111120100000
43001213012200
5100443111302
65011500000
71154254464
oct301470640
9115446300
1050753952
1126716217
1214bb7600
13a690632
146a524a4
1546c831c
hex30671a0

50753952 has 144 divisors (see below), whose sum is σ = 153552672. Its totient is φ = 16485120.

The previous prime is 50753951. The next prime is 50753953. The reversal of 50753952 is 25935705.

It is an interprime number because it is at equal distance from previous prime (50753951) and next prime (50753953).

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 not an unprimeable number, because it can be changed into a prime (50753951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474283 + ... + 474389.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 250753952 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 50753952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76776336).

50753952 is an abundant number, since it is smaller than the sum of its proper divisors (102798720).

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

50753952 is a wasteful number, since it uses less digits than its factorization.

50753952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 50753952 is about 7124.1807950107. The cubic root of 50753952 is about 370.2456416070.

The spelling of 50753952 in words is "fifty million, seven hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 107 108 122 144 162 183 214 216 243 244 288 321 324 366 428 432 486 488 549 642 648 732 856 864 963 972 976 1098 1284 1296 1464 1647 1712 1926 1944 1952 2196 2568 2592 2889 2928 3294 3424 3852 3888 4392 4941 5136 5778 5856 6527 6588 7704 7776 8667 8784 9882 10272 11556 13054 13176 14823 15408 17334 17568 19581 19764 23112 26001 26108 26352 29646 30816 34668 39162 39528 46224 52002 52216 52704 58743 59292 69336 78324 79056 92448 104004 104432 117486 118584 138672 156648 158112 176229 208008 208864 234972 237168 277344 313296 352458 416016 469944 474336 528687 626592 704916 832032 939888 1057374 1409832 1586061 1879776 2114748 2819664 3172122 4229496 5639328 6344244 8458992 12688488 16917984 25376976 50753952