Search a number
-
+
148451904 = 2632972657
BaseRepresentation
bin10001101100100…
…11001001000000
3101100100010201200
420312103021000
5301000430104
622421501200
73451551246
oct1066231100
9340303650
10148451904
1176885127
1241871800
13249a9383
1415a04796
15d075b39
hex8d93240

148451904 has 84 divisors (see below), whose sum is σ = 430059084. Its totient is φ = 48955392.

The previous prime is 148451893. The next prime is 148451909. The reversal of 148451904 is 409154841.

It can be written as a sum of positive squares in 2 ways, for example, as 81866304 + 66585600 = 9048^2 + 8160^2 .

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 (148451909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54544 + ... + 57200.

It is an arithmetic number, because the mean of its divisors is an integer number (5119751).

Almost surely, 2148451904 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 148451904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215029542).

148451904 is an abundant number, since it is smaller than the sum of its proper divisors (281607180).

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

148451904 is a wasteful number, since it uses less digits than its factorization.

148451904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 148451904 is about 12184.0840443589. The cubic root of 148451904 is about 529.4950738787.

The spelling of 148451904 in words is "one hundred forty-eight million, four hundred fifty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 2657 3104 3492 4656 5314 6208 6984 7971 9312 10628 13968 15942 18624 21256 23913 27936 31884 42512 47826 55872 63768 85024 95652 127536 170048 191304 255072 257729 382608 510144 515458 765216 773187 1030916 1530432 1546374 2061832 2319561 3092748 4123664 4639122 6185496 8247328 9278244 12370992 16494656 18556488 24741984 37112976 49483968 74225952 148451904