Search a number
-
+
150458496 = 2732959229
BaseRepresentation
bin10001111011111…
…01000010000000
3101111010002020220
420331331002000
5302004132441
622532503040
73504606336
oct1075750200
9344102226
10150458496
1177a25771
124247aa80
132522c7c6
1415da7b56
15d320466
hex8f7d080

150458496 has 128 divisors (see below), whose sum is σ = 422280000. Its totient is φ = 47394816.

The previous prime is 150458471. The next prime is 150458501. The reversal of 150458496 is 694854051.

It is a tau number, because it is divible by the number of its divisors (128).

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, 656910 + ... + 657138.

Almost surely, 2150458496 is an apocalyptic number.

150458496 is a gapful number since it is divisible by the number (16) 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 150458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211140000).

150458496 is an abundant number, since it is smaller than the sum of its proper divisors (271821504).

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

150458496 is a wasteful number, since it uses less digits than its factorization.

150458496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 150458496 is about 12266.1524529903. The cubic root of 150458496 is about 531.8700947259.

The spelling of 150458496 in words is "one hundred fifty million, four hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 59 64 87 96 116 118 128 174 177 192 229 232 236 348 354 384 458 464 472 687 696 708 916 928 944 1374 1392 1416 1711 1832 1856 1888 2748 2784 2832 3422 3664 3712 3776 5133 5496 5568 5664 6641 6844 7328 7552 10266 10992 11136 11328 13282 13511 13688 14656 19923 20532 21984 22656 26564 27022 27376 29312 39846 40533 41064 43968 53128 54044 54752 79692 81066 82128 87936 106256 108088 109504 159384 162132 164256 212512 216176 219008 318768 324264 328512 391819 425024 432352 637536 648528 657024 783638 850048 864704 1175457 1275072 1297056 1567276 1729408 2350914 2550144 2594112 3134552 4701828 5188224 6269104 9403656 12538208 18807312 25076416 37614624 50152832 75229248 150458496