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145778004 = 22324049389
BaseRepresentation
bin10001011000001…
…10010101010100
3101011022021211100
420230012111110
5244304344004
622244310100
73420043521
oct1054062524
9334267740
10145778004
1175319199
12409a2330
1324281298
141550a148
15cbe8739
hex8b06554

145778004 has 18 divisors (see below), whose sum is σ = 368494490. Its totient is φ = 48592656.

The previous prime is 145777991. The next prime is 145778033. The reversal of 145778004 is 400877541.

145778004 is a `hidden beast` number, since 1 + 4 + 577 + 80 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79388100 + 66389904 = 8910^2 + 8148^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4049389 = 145778004 / (1 + 4 + 5 + 7 + 7 + 8 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 145778004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2024659 + ... + 2024730.

Almost surely, 2145778004 is an apocalyptic number.

It is an amenable number.

145778004 is an abundant number, since it is smaller than the sum of its proper divisors (222716486).

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

145778004 is a wasteful number, since it uses less digits than its factorization.

145778004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049399 (or 4049394 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 145778004 is about 12073.8562191207. The cubic root of 145778004 is about 526.2967237718.

The spelling of 145778004 in words is "one hundred forty-five million, seven hundred seventy-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 4049389 8098778 12148167 16197556 24296334 36444501 48592668 72889002 145778004