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148470912 = 27323592
BaseRepresentation
bin10001101100101…
…11110010000000
3101100101002210200
420312113302000
5301002032122
622422125200
73451660542
oct1066276200
9340332720
10148470912
1176898437
1241880800
13249b4c15
1415a0b692
15d07b5ac
hex8d97c80

148470912 has 72 divisors (see below), whose sum is σ = 428433915. Its totient is φ = 49352448.

The previous prime is 148470893. The next prime is 148470913. The reversal of 148470912 is 219074841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 74235456 + 74235456 = 8616^2 + 8616^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8616.

It is a super-2 number, since 2×1484709122 = 44087223420223488, which contains 22 as substring.

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 (148470913) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 413389 + ... + 413747.

Almost surely, 2148470912 is an apocalyptic number.

148470912 is a gapful number since it is divisible by the number (12) 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 148470912

148470912 is an abundant number, since it is smaller than the sum of its proper divisors (279963003).

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

148470912 is an frugal number, since it uses more digits than its factorization.

148470912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 148470912 is about 12184.8640534066. The cubic root of 148470912 is about 529.5176720235.

The spelling of 148470912 in words is "one hundred forty-eight million, four hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 359 384 576 718 1077 1152 1436 2154 2872 3231 4308 5744 6462 8616 11488 12924 17232 22976 25848 34464 45952 51696 68928 103392 128881 137856 206784 257762 386643 413568 515524 773286 1031048 1159929 1546572 2062096 2319858 3093144 4124192 4639716 6186288 8248384 9279432 12372576 16496768 18558864 24745152 37117728 49490304 74235456 148470912