Search a number
-
+
152795496 = 23373747523
BaseRepresentation
bin10010001101101…
…11100101101000
3101122111211000110
421012313211220
5303103423441
623054534320
73533511630
oct1106674550
9348454013
10152795496
1179281577
12432073a0
132586a449
14164156c0
15d632b16
hex91b7968

152795496 has 128 divisors (see below), whose sum is σ = 458772480. Its totient is φ = 41492736.

The previous prime is 152795471. The next prime is 152795501. The reversal of 152795496 is 694597251.

152795496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291891 + ... + 292413.

It is an arithmetic number, because the mean of its divisors is an integer number (3584160).

Almost surely, 2152795496 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 152795496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229386240).

152795496 is an abundant number, since it is smaller than the sum of its proper divisors (305976984).

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

152795496 is a wasteful number, since it uses less digits than its factorization.

With its successor (152795497) it forms an eRAP, since the sums of their prime factors are consecutive (623 and 624).

152795496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The square root of 152795496 is about 12361.0475284257. The cubic root of 152795496 is about 534.6097203117.

The spelling of 152795496 in words is "one hundred fifty-two million, seven hundred ninety-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 47 56 74 84 94 111 141 148 168 188 222 259 282 296 329 376 444 518 523 564 658 777 888 987 1036 1046 1128 1316 1554 1569 1739 1974 2072 2092 2632 3108 3138 3478 3661 3948 4184 5217 6216 6276 6956 7322 7896 10434 10983 12173 12552 13912 14644 19351 20868 21966 24346 24581 29288 36519 38702 41736 43932 48692 49162 58053 73038 73743 77404 87864 97384 98324 116106 135457 146076 147486 154808 172067 196648 232212 270914 292152 294972 344134 406371 464424 516201 541828 589944 688268 812742 909497 1032402 1083656 1376536 1625484 1818994 2064804 2728491 3250968 3637988 4129608 5456982 6366479 7275976 10913964 12732958 19099437 21827928 25465916 38198874 50931832 76397748 152795496