Search a number
-
+
75226752 = 273321767
BaseRepresentation
bin1000111101111…
…01111010000000
312020112220201000
410132331322000
5123224224002
611244212000
71602262656
oct436757200
9166486630
1075226752
1139510a77
122123a000
131277b893
149dc2dd6
15690e61c
hex47bde80

75226752 has 64 divisors (see below), whose sum is σ = 222033600. Its totient is φ = 25074432.

The previous prime is 75226741. The next prime is 75226763. The reversal of 75226752 is 25762257.

It is an interprime number because it is at equal distance from previous prime (75226741) and next prime (75226763).

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 7428 + ... + 14339.

It is an arithmetic number, because the mean of its divisors is an integer number (3469275).

Almost surely, 275226752 is an apocalyptic number.

75226752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75226752 is an abundant number, since it is smaller than the sum of its proper divisors (146806848).

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

75226752 is a wasteful number, since it uses less digits than its factorization.

75226752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21790 (or 21772 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 75226752 is about 8673.3356904942. The cubic root of 75226752 is about 422.1409051566.

The spelling of 75226752 in words is "seventy-five million, two hundred twenty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 21767 43534 65301 87068 130602 174136 195903 261204 348272 391806 522408 587709 696544 783612 1044816 1175418 1393088 1567224 2089632 2350836 2786176 3134448 4179264 4701672 6268896 8358528 9403344 12537792 18806688 25075584 37613376 75226752