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145779456 = 283189817
BaseRepresentation
bin10001011000001…
…10101100000000
3101011022100211010
420230012230000
5244304420311
622244320520
73420050664
oct1054065400
9334270733
10145779456
117531a299
12409a3140
1324281b44
141550a8a4
15cbe8da6
hex8b06b00

145779456 has 36 divisors (see below), whose sum is σ = 387987992. Its totient is φ = 48592896.

The previous prime is 145779449. The next prime is 145779463. The reversal of 145779456 is 654977541.

It is an interprime number because it is at equal distance from previous prime (145779449) and next prime (145779463).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94141 + ... + 95676.

Almost surely, 2145779456 is an apocalyptic number.

145779456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145779456 is an abundant number, since it is smaller than the sum of its proper divisors (242208536).

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

145779456 is an equidigital number, since it uses as much as digits as its factorization.

145779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189836 (or 189822 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 145779456 is about 12073.9163488903. The cubic root of 145779456 is about 526.2984711326.

The spelling of 145779456 in words is "one hundred forty-five million, seven hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 189817 379634 569451 759268 1138902 1518536 2277804 3037072 4555608 6074144 9111216 12148288 18222432 24296576 36444864 48593152 72889728 145779456