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145919744 = 28599661
BaseRepresentation
bin10001011001010…
…00111100000000
3101011120111020222
420230220330000
5244323412434
622251322212
73421203665
oct1054507400
9334514228
10145919744
1175405733
1240a50368
1324300959
1415545a6c
15cc2572e
hex8b28f00

145919744 has 36 divisors (see below), whose sum is σ = 296236920. Its totient is φ = 71715840.

The previous prime is 145919737. The next prime is 145919771. The reversal of 145919744 is 447919541.

It is a junction number, because it is equal to n+sod(n) for n = 145919695 and 145919704.

It is a congruent number.

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, 10274 + ... + 19934.

Almost surely, 2145919744 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 145919744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148118460).

145919744 is an abundant number, since it is smaller than the sum of its proper divisors (150317176).

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

145919744 is an frugal number, since it uses more digits than its factorization.

145919744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9736 (or 9722 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 145919744 is about 12079.7245001697. The cubic root of 145919744 is about 526.4672413434.

The spelling of 145919744 in words is "one hundred forty-five million, nine hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 1888 3776 7552 9661 15104 19322 38644 77288 154576 309152 569999 618304 1139998 1236608 2279996 2473216 4559992 9119984 18239968 36479936 72959872 145919744