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145038552 = 233192313829
BaseRepresentation
bin10001010010100…
…01110011011000
3101002220201111020
420221101303120
5244112213202
622220402440
73410543631
oct1051216330
9332821436
10145038552
117496367a
12406a6420
1324082839
1415396888
15caee5bc
hex8a51cd8

145038552 has 64 divisors (see below), whose sum is σ = 398304000. Its totient is φ = 43807104.

The previous prime is 145038521. The next prime is 145038589. The reversal of 145038552 is 255830541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3574 + ... + 17402.

It is an arithmetic number, because the mean of its divisors is an integer number (6223500).

Almost surely, 2145038552 is an apocalyptic number.

145038552 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 145038552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199152000).

145038552 is an abundant number, since it is smaller than the sum of its proper divisors (253265448).

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

145038552 is a wasteful number, since it uses less digits than its factorization.

145038552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13880 (or 13876 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 145038552 is about 12043.1952570736. The cubic root of 145038552 is about 525.4053431970.

The spelling of 145038552 in words is "one hundred forty-five million, thirty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 5244 10488 13829 27658 41487 55316 82974 110632 165948 262751 318067 331896 525502 636134 788253 954201 1051004 1272268 1576506 1908402 2102008 2544536 3153012 3816804 6043273 6306024 7633608 12086546 18129819 24173092 36259638 48346184 72519276 145038552