Search a number
-
+
98996256 = 253529439
BaseRepresentation
bin1011110011010…
…01000000100000
320220021112100000
411321221000200
5200320340011
613453500000
72311311552
oct571510040
9226245300
1098996256
1150976397
12291a1600
1317681988
14d20d4d2
158a57356
hex5e69020

98996256 has 144 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 31788288.

The previous prime is 98996239. The next prime is 98996273. The reversal of 98996256 is 65269989.

98996256 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (98996239) and next prime (98996273).

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225285 + ... + 225723.

It is an arithmetic number, because the mean of its divisors is an integer number (2102100).

Almost surely, 298996256 is an apocalyptic number.

98996256 is a gapful number since it is divisible by the number (96) 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 98996256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

98996256 is an abundant number, since it is smaller than the sum of its proper divisors (203706144).

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

98996256 is a wasteful number, since it uses less digits than its factorization.

98996256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 473 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 98996256 is about 9949.6862262083. The cubic root of 98996256 is about 462.6006691992.

The spelling of 98996256 in words is "ninety-eight million, nine hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 439 464 486 522 648 696 783 864 878 928 972 1044 1296 1317 1392 1566 1756 1944 2088 2349 2592 2634 2784 3132 3512 3888 3951 4176 4698 5268 6264 7024 7047 7776 7902 8352 9396 10536 11853 12528 12731 14048 14094 15804 18792 21072 23706 25056 25462 28188 31608 35559 37584 38193 42144 47412 50924 56376 63216 71118 75168 76386 94824 101848 106677 112752 114579 126432 142236 152772 189648 203696 213354 225504 229158 284472 305544 343737 379296 407392 426708 458316 568944 611088 687474 853416 916632 1031211 1137888 1222176 1374948 1706832 1833264 2062422 2749896 3093633 3413664 3666528 4124844 5499792 6187266 8249688 10999584 12374532 16499376 24749064 32998752 49498128 98996256