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150821352 = 2336112351
BaseRepresentation
bin10001111110101…
…01100111101000
3101111210112000000
420333111213220
5302102240402
622544343000
73510650253
oct1077254750
9344715000
10150821352
1178153350
1242614a60
1325328a06
141606009a
15d392c1c
hex8fd59e8

150821352 has 112 divisors (see below), whose sum is σ = 462732480. Its totient is φ = 45684000.

The previous prime is 150821351. The next prime is 150821353. The reversal of 150821352 is 253128051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150821351) and next prime (150821353).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (150821351) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 62977 + ... + 65327.

It is an arithmetic number, because the mean of its divisors is an integer number (4131540).

Almost surely, 2150821352 is an apocalyptic number.

150821352 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 150821352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231366240).

150821352 is an abundant number, since it is smaller than the sum of its proper divisors (311911128).

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

150821352 is a wasteful number, since it uses less digits than its factorization.

150821352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 150821352 is about 12280.9344921305. The cubic root of 150821352 is about 532.2973162372.

The spelling of 150821352 in words is "one hundred fifty million, eight hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1944 2351 2376 2673 2916 3564 4702 5346 5832 7053 7128 8019 9404 10692 14106 16038 18808 21159 21384 25861 28212 32076 42318 51722 56424 63477 64152 77583 84636 103444 126954 155166 169272 190431 206888 232749 253908 310332 380862 465498 507816 571293 620664 698247 761724 930996 1142586 1396494 1523448 1713879 1861992 2094741 2285172 2792988 3427758 4189482 4570344 5585976 6284223 6855516 8378964 12568446 13711032 16757928 18852669 25136892 37705338 50273784 75410676 150821352