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152272764 = 223371910601
BaseRepresentation
bin10010001001101…
…11111101111100
3101121112020222000
421010313331330
5302440212024
623035422300
73526203630
oct1104677574
9347466860
10152272764
1178a54866
1242bb4990
1325716537
141631adc0
15d57ccc9
hex9137f7c

152272764 has 96 divisors (see below), whose sum is σ = 474969600. Its totient is φ = 41212800.

The previous prime is 152272759. The next prime is 152272781. The reversal of 152272764 is 467272251.

It is a happy number.

152272764 is a `hidden beast` number, since 1 + 522 + 72 + 7 + 64 = 666.

152272764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9064 + ... + 19664.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2152272764 is an apocalyptic number.

152272764 is a gapful number since it is divisible by the number (14) 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 152272764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

152272764 is an abundant number, since it is smaller than the sum of its proper divisors (322696836).

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

152272764 is a wasteful number, since it uses less digits than its factorization.

152272764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640 (or 10632 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 152272764 is about 12339.8850886060. The cubic root of 152272764 is about 533.9993687658. Note that the first 3 decimals are identical.

The spelling of 152272764 in words is "one hundred fifty-two million, two hundred seventy-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 10601 14364 21202 31803 42404 63606 74207 95409 127212 148414 190818 201419 222621 286227 296828 381636 402838 445242 572454 604257 667863 805676 890484 1144908 1208514 1335726 1409933 1812771 2003589 2417028 2671452 2819866 3625542 4007178 4229799 5438313 5639732 7251084 8014356 8459598 10876626 12689397 16919196 21753252 25378794 38068191 50757588 76136382 152272764