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148923432 = 233271931531
BaseRepresentation
bin10001110000001…
…10010000101000
3101101020002112200
420320012100220
5301111022212
622435540200
73455554050
oct1070062050
9341202480
10148923432
1177077419
1241a5a660
1324b12b98
1415ac8560
15d11a6dc
hex8e06428

148923432 has 96 divisors (see below), whose sum is σ = 463644480. Its totient is φ = 42301440.

The previous prime is 148923427. The next prime is 148923457. The reversal of 148923432 is 234329841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96507 + ... + 98037.

It is an arithmetic number, because the mean of its divisors is an integer number (4829630).

Almost surely, 2148923432 is an apocalyptic number.

148923432 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 148923432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231822240).

148923432 is an abundant number, since it is smaller than the sum of its proper divisors (314721048).

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

148923432 is a wasteful number, since it uses less digits than its factorization.

148923432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1736 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 148923432 is about 12203.4188652197. The cubic root of 148923432 is about 530.0550933591.

The spelling of 148923432 in words is "one hundred forty-eight million, nine hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 193 252 386 504 579 772 1158 1351 1531 1544 1737 2316 2702 3062 3474 4053 4593 4632 5404 6124 6948 8106 9186 10717 10808 12159 12248 13779 13896 16212 18372 21434 24318 27558 32151 32424 36744 42868 48636 55116 64302 85736 96453 97272 110232 128604 192906 257208 295483 385812 590966 771624 886449 1181932 1772898 2068381 2363864 2659347 3545796 4136762 5318694 6205143 7091592 8273524 10637388 12410286 16547048 18615429 21274776 24820572 37230858 49641144 74461716 148923432