Search a number
-
+
151399808 = 2772101239
BaseRepresentation
bin10010000011000…
…10110110000000
3101112212220111022
421001202312000
5302224243213
623005005012
73515606600
oct1101426600
9345786438
10151399808
1178508a0a
1242853768
132549c0b1
1416170c00
15d459308
hex9062d80

151399808 has 96 divisors (see below), whose sum is σ = 355816800. Its totient is φ = 63974400.

The previous prime is 151399799. The next prime is 151399817. The reversal of 151399808 is 808993151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151399799) and next prime (151399817).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633353 + ... + 633591.

It is an arithmetic number, because the mean of its divisors is an integer number (3706425).

Almost surely, 2151399808 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 151399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177908400).

151399808 is an abundant number, since it is smaller than the sum of its proper divisors (204416992).

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

151399808 is a wasteful number, since it uses less digits than its factorization.

151399808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 44.

The square root of 151399808 is about 12304.4629301729. The cubic root of 151399808 is about 532.9769674899.

The spelling of 151399808 in words is "one hundred fifty-one million, three hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 101 112 128 196 202 224 239 392 404 448 478 707 784 808 896 956 1414 1568 1616 1673 1912 2828 3136 3232 3346 3824 4949 5656 6272 6464 6692 7648 9898 11312 11711 12928 13384 15296 19796 22624 23422 24139 26768 30592 39592 45248 46844 48278 53536 79184 90496 93688 96556 107072 158368 168973 187376 193112 214144 316736 337946 374752 386224 633472 675892 749504 772448 1182811 1351784 1499008 1544896 2365622 2703568 3089792 4731244 5407136 9462488 10814272 18924976 21628544 37849952 75699904 151399808