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148242432 = 21731329
BaseRepresentation
bin10001101011000…
…00000000000000
3101022221111101110
420311200000000
5300422224212
622413203320
73450016452
oct1065400000
9338844343
10148242432
1176751808
1241790540
1324934c20
141598c2d2
15d033a3c
hex8d60000

148242432 has 144 divisors (see below), whose sum is σ = 440400240. Its totient is φ = 44040192.

The previous prime is 148242407. The next prime is 148242443. The reversal of 148242432 is 234242841.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 148242432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5111794 + ... + 5111822.

It is an arithmetic number, because the mean of its divisors is an integer number (3058335).

Almost surely, 2148242432 is an apocalyptic number.

148242432 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 148242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220200120).

148242432 is an abundant number, since it is smaller than the sum of its proper divisors (292157808).

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

148242432 is an frugal number, since it uses more digits than its factorization.

148242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 148242432 is about 12175.4848774084. The cubic root of 148242432 is about 529.2459098995.

The spelling of 148242432 in words is "one hundred forty-eight million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 256 312 348 377 384 416 464 512 624 696 754 768 832 928 1024 1131 1248 1392 1508 1536 1664 1856 2048 2262 2496 2784 3016 3072 3328 3712 4096 4524 4992 5568 6032 6144 6656 7424 8192 9048 9984 11136 12064 12288 13312 14848 16384 18096 19968 22272 24128 24576 26624 29696 32768 36192 39936 44544 48256 49152 53248 59392 65536 72384 79872 89088 96512 98304 106496 118784 131072 144768 159744 178176 193024 196608 212992 237568 289536 319488 356352 386048 393216 425984 475136 579072 638976 712704 772096 851968 950272 1158144 1277952 1425408 1544192 1703936 1900544 2316288 2555904 2850816 3088384 3801088 4632576 5111808 5701632 6176768 9265152 11403264 12353536 18530304 24707072 37060608 49414144 74121216 148242432