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148932864 = 283329743
BaseRepresentation
bin10001110000010…
…00100100000000
3101101020120111000
420320020210000
5301111322424
622440052000
73455623413
oct1070104400
9341216430
10148932864
1177083513
1241a64000
1324b17272
1415acbb7a
15d11d3c9
hex8e08900

148932864 has 144 divisors (see below), whose sum is σ = 456220800. Its totient is φ = 47867904.

The previous prime is 148932863. The next prime is 148932877. The reversal of 148932864 is 468239841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (148932863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200077 + ... + 200819.

It is an arithmetic number, because the mean of its divisors is an integer number (3168200).

Almost surely, 2148932864 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 148932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228110400).

148932864 is an abundant number, since it is smaller than the sum of its proper divisors (307287936).

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

148932864 is an equidigital number, since it uses as much as digits as its factorization.

148932864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 148932864 is about 12203.8053081815. The cubic root of 148932864 is about 530.0662833916.

The spelling of 148932864 in words is "one hundred forty-eight million, nine hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 576 696 743 768 783 864 928 1044 1152 1392 1486 1566 1728 1856 2088 2229 2304 2784 2972 3132 3456 3712 4176 4458 5568 5944 6264 6687 6912 7424 8352 8916 11136 11888 12528 13374 16704 17832 20061 21547 22272 23776 25056 26748 33408 35664 40122 43094 47552 50112 53496 64641 66816 71328 80244 86188 95104 100224 106992 129282 142656 160488 172376 190208 193923 200448 213984 258564 285312 320976 344752 387846 427968 517128 570624 581769 641952 689504 775692 855936 1034256 1163538 1283904 1379008 1551384 1711872 2068512 2327076 2567808 2758016 3102768 4137024 4654152 5135616 5516032 6205536 8274048 9308304 12411072 16548096 18616608 24822144 37233216 49644288 74466432 148932864